Question

The largest value of the function f(x) = -2x² + 4x + 1 is?

a) 1
b) 5
c) 9
d) 10

Answer 1

To find the largest value of the function f(x) = -2x² + 4x + 1, we need to determine the vertex of the parabola formed by the function.

Step-by-step explanation:

To find the largest value of the function f(x) = -2x² + 4x + 1, we need to determine the vertex of the parabola formed by the function. The vertex of a quadratic function is given by the formula x = -b/2a, where a is the coefficient of x² and b is the coefficient of x. In this case, a = -2 and b = 4.

Substituting these values into the formula, we get x = -4/(2*(-2)) = -4/(-4) = 1.

Therefore, the largest value of the function is f(1) = -2(1)² + 4(1) + 1 = -2 + 4 + 1 = 3.